Flux front penetration in disordered superconductors

Details Flux front penetration in disordered superconductors Flux front penetration in disordered superconductors

2001-02-26

arxiv.org/abs/cond-mat/0102461v1

Phys. Rev. Lett. 86, 3622 (2001)

Physics

Condensed Matter

Superconductivity

5 pages, 4 figures, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.86.3622

We investigate flux front penetration in a disordered type II superconductor by molecular dynamics (MD) simulations of interacting vortices and find scaling laws for the front position and the density profile. The scaling can be understood performing a coarse graining of the system and writing a disordered non-linear diffusion equation. Integrating numerically the equation, we observe a crossover from flat to fractal front penetration as the system parameters are varied. The value of the fractal dimension indicates that the invasion process is described by gradient percolation.

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